A low power radio network comprises a network responsible radio device (10) having a routing table (20) and a plurality of slave radio devices (SL1 to SL6) which have been enumerated by the network responsible radio device (10) as members of the network. A new slave device is enumerated by the slave radio device detecting the periodic reference signals transmitted by the network responsible radio device (10) and automatically initiating the enumeration process to become a member of the radio network. In the interests of network security the network responsible radio device is inhibited from accepting enabling requests unless it has been enabled by a user.